@Article{IJNAM-18-3,
author = {Ahmed, AL-Taweel and Saqib, Hussain and Runchang, Lin and Zhu, Peng},
title = {A Stabilizer Free Weak Galerkin Finite Element Method for General Second-Order Elliptic Problem},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2021},
volume = {18},
number = {3},
pages = {311--323},
abstract = {<p style="text-align: justify;">This paper proposes a stabilizer free weak Galerkin (SFWG) finite element method
for the convection-diffusion-reaction equation in the diffusion-dominated regime. The object of
using the SFWG method is to obtain a simple formulation which makes the SFWG algorithm
(9) more efficient and the numerical programming easier. The optimal rates of convergence
of numerical errors of $\mathcal{O}(h^k)$ in $H^1$ and&nbsp;$\mathcal{O}(h^{k+1})$ in $L^2$ norms are achieved under conditions $(
P_k(K), P_k(e), [P_j (K)]^2
)$ , $j = k + 1$, $k = 1, 2$ finite element spaces. Numerical experiments are
reported to verify the accuracy and efficiency of the SFWG method.</p>},
issn = {2617-8710},
doi = {https://doi.org/2021-IJNAM-18725},
url = {https://global-sci.com/article/82981/a-stabilizer-free-weak-galerkin-finite-element-method-for-general-second-order-elliptic-problem}
}